Question

9/25, 8:01 am question #15 sy 25 - 26 s - id.123 rv 1 a study compares the average daily computer usage of elementary, middle, and high school students. the table shows the results of seven students from each grade level. grade level computer usage (in minutes per day) elementary 21, 24, 17, 14, 15, 28, 13 middle 47, 45, 30, 38, 37, 34, 23 high 46, 39, 36, 45, 49, 45, 32 which grade level has the largest interquartile range? a elementary b middle c high d the interquartile range is the same for all grade levels

Explanation:

Step1: Sort elementary data

Sort 21, 24, 17, 14, 15, 28, 13: 13, 14, 15, 17, 21, 24, 28.
Median (Q2) is 17. Lower - half: 13, 14, 15. Q1 = 14. Upper - half: 21, 24, 28. Q3 = 24. IQR = Q3 - Q1 = 24 - 14 = 10.

Step2: Sort middle data

Sort 47, 45, 30, 38, 37, 34, 23: 23, 30, 34, 37, 38, 45, 47.
Median (Q2) is 37. Lower - half: 23, 30, 34. Q1 = 30. Upper - half: 38, 45, 47. Q3 = 45. IQR = Q3 - Q1 = 45 - 30 = 15.

Step3: Sort high data

Sort 46, 39, 36, 45, 49, 45, 32: 32, 36, 39, 45, 45, 46, 49.
Median (Q2) is 45. Lower - half: 32, 36, 39. Q1 = 36. Upper - half: 45, 46, 49. Q3 = 46. IQR = Q3 - Q1 = 46 - 36 = 10.

Answer:

B. middle